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Finding the Fourth Proportional to 342,698.98, 472,909.14 and 189,726.43

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Solution

The fourth proportional to 342,698.98, 472,909.14 and 189,726.43 is: 261,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,698.98 : 472,909.14 = 189,726.43 : x
  2. Step 2: Convert to fraction form
    342,698.98/472,909.14 = 189,726.43/x
  3. Step 3: Cross multiply
    342,698.98x = 472,909.14 × 189,726.43
  4. Step 4: Simplify right side
    342,698.98x = 89,723,362,846.57
  5. Step 5: Solve for x
    x = 89,723,362,846.57/342,698.98
  6. Step 6: Final answer
    x = 261,813.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.